Question

If g(x)=x+1/x-2 and h(x)=4-x, what is the value of (g•h)(-3)

Answer 1

14/5

Explanation:

That " • " signifies multiplication.

g(x) = (x + 1) / (x - 2) and h(x) = 4 - x are to be multiplied together to obtain (g·h)(x):

(x + 1)(4 - x)

(g·h)(x) = --------------------

x - 2

This could be simplified.

But our task is to evaluate this product function at x = -3. So we replace each instance of x with -3:

( -3 + 1 )( 4 - [-3] ) (-2)(7)

(g·h)(-3) = -------------------------- = ----------- = 14/5

-3 - 2 -5